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Finding the Fourth Proportional to 46.60, 64.34 and 35.71

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Solution

The fourth proportional to 46.60, 64.34 and 35.71 is: 49.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.60 : 64.34 = 35.71 : x
  2. Step 2: Convert to fraction form
    46.60/64.34 = 35.71/x
  3. Step 3: Cross multiply
    46.60x = 64.34 × 35.71
  4. Step 4: Simplify right side
    46.60x = 2,297.58
  5. Step 5: Solve for x
    x = 2,297.58/46.60
  6. Step 6: Final answer
    x = 49.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.